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Springer - The Geometry of Lagrange Spaces: Theory and Applications

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Description

Explore the growing importance of differential-geometric methods in understanding fundamental natural phenomena. This academic text provides a deep look into variational problems formulated through specific Lagrangians. As a smooth real function defined on the total space of the tangent bundle to a manifold, the Lagrangian serves as a starting point for many modern studies in physics. This volume from the Fundamental Theories of Physics series offers a structured approach to complex mathematical concepts. It is designed to support researchers and students by providing a clear framework for studying the geometry of vector bundles and the specific applications of Lagrange geometry. By focusing on the mathematical foundations of these systems, the book helps readers bridge the gap between formal theory and physical application.

Key Features

Extensive discussion on the geometry of the total space of a vector bundle to build a strong mathematical foundation.

Detailed exposition of Lagrange geometry to assist in the study of variational problems and natural phenomena.

Part of the Fundamental Theories of Physics series, providing a specialized academic resource for advanced study.

Focuses on the use of Lagrangians as smooth real functions defined on the tangent bundle to a manifold.

Provides theoretical frameworks for understanding how differential-geometric methods apply to various physical systems.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
30 November 1993
Listed Since
15 December 2006

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